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Countdown to Exams - Day 72 - Rates of change

Countdown to Exams - Day 72 - Rates of change

In today's blog, we look at the topic of Rates of change. With linear functions (straight line graphs) the rate of change can be interpreted from the gradient of the function. It is interpreted as an amount of y per amount of x (e.g. Dollars per hour, Metres per second). When dealing with non-linear functions there are two rates of change you could calculate.

The average rate of change; here you create a chord between two intervals and then calculate the gradient of the cord and interpret as a rate of change. The disadvantage of this is that it doesn't truly reflect the nature of the graph.

The other rate of change is an instantaneous rate of change; here you are working out the rate of change at a specific point. Create a tangent at the point, calculate and interpret the gradient as a rate of change. This will give a more accurate representation of what is happening but more tangents will be required to deliver the bigger picture.

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Countdown to Exams - Day 19 - Averages from a Grouped frequency table

Countdown to Exams - Day 19 - Averages from a Grouped frequency table

On day 19 we extend our understanding of averages by looking at Grouped frequency tables. Here you will find that your data has been grouped into categories. It is important to note a change in the vocabulary for the questions. Because the data is grouped, you will be unable to use specific values as you don't know what they are hence you will be asked to find an estimate for the mean or an estimate for the median.

You will often have to create two extra columns, one for the midpoints of each group and one for your fx column.

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Countdown to Exams - Day 18 - Averages from a frequency table

Countdown to Exams - Day 18 - Averages from a frequency table

On day 18, we focus on calculating averages from a simple frequency table. There will be times where you will need to create the fx column so that the total amount can be worked out. Remember the formula for the median shows you where the median is located.

It will be important to look and check your answers to see if they are reasonable answers and fit within the data set.

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Countdown to Exams - Day 17 - Mean, Median, Mode, Range

Countdown to Exams - Day 17 - Mean, Median, Mode, Range

On day 17, we shift our focus to the Statistics topic looking at Mean, Median, Mode and Range. We take a look at how to calculate the three averages and when it might be necessary to calculate each average.

Mean - When you want to include all the data. Median - When you want to eliminate extreme values (outliers) from the data set. Mode - When you are dealing with categorical data (either Quantitative or Qualitative). Range  - Is not an average but a measure of spread.

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